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arXiv · 2010.06316

A bipolar Hardy inequality on Finsler manifolds

Ágnes Mester·Alexandru Kristály
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Abstract

We establish a bipolar Hardy inequality on complete, not necessarily reversible Finsler manifolds. We show that our result strongly depends on the geometry of the Finsler structure, namely on the reversibility constant $r_F$ and the uniformity constant $l_F$. Our result represents a Finslerian counterpart of the Euclidean multipolar Hardy inequality due to Cazacu and Zuazua (2013) and the Riemannian case considered by Faraci, Farkas and Kristály (2018).

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Ágnes Mester, Alexandru Kristály. 2020-10-13. A bipolar Hardy inequality on Finsler manifolds. https://doi.org/10.1109/saci46893.2019.9111497

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